X^4+3x^3-5x^2-17x-6=0

Solution for X^4+3x^3-5x^2-17x-6=0 equation:

Simplifying
X4 + 3x3 + -5x2 + -17x + -6 = 0

Reorder the terms:
-6 + X4 + -17x + -5x2 + 3x3 = 0

Solving
-6 + X4 + -17x + -5x2 + 3x3 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + X4 + -17x + -5x2 + 6 + 3x3 = 0 + 6

Reorder the terms:
-6 + 6 + X4 + -17x + -5x2 + 3x3 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + X4 + -17x + -5x2 + 3x3 = 0 + 6
X4 + -17x + -5x2 + 3x3 = 0 + 6

Combine like terms: 0 + 6 = 6
X4 + -17x + -5x2 + 3x3 = 6

Add '17x' to each side of the equation.
X4 + -17x + -5x2 + 17x + 3x3 = 6 + 17x

Reorder the terms:
X4 + -17x + 17x + -5x2 + 3x3 = 6 + 17x

Combine like terms: -17x + 17x = 0
X4 + 0 + -5x2 + 3x3 = 6 + 17x
X4 + -5x2 + 3x3 = 6 + 17x

Add '5x2' to each side of the equation.
X4 + -5x2 + 5x2 + 3x3 = 6 + 17x + 5x2

Combine like terms: -5x2 + 5x2 = 0
X4 + 0 + 3x3 = 6 + 17x + 5x2
X4 + 3x3 = 6 + 17x + 5x2

Add '-3x3' to each side of the equation.
X4 + 3x3 + -3x3 = 6 + 17x + 5x2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
X4 + 0 = 6 + 17x + 5x2 + -3x3
X4 = 6 + 17x + 5x2 + -3x3

Simplifying
X4 = 6 + 17x + 5x2 + -3x3

Reorder the terms:
-6 + X4 + -17x + -5x2 + 3x3 = 6 + 17x + 5x2 + -3x3 + -6 + -17x + -5x2 + 3x3

Reorder the terms:
-6 + X4 + -17x + -5x2 + 3x3 = 6 + -6 + 17x + -17x + 5x2 + -5x2 + -3x3 + 3x3

Combine like terms: 6 + -6 = 0
-6 + X4 + -17x + -5x2 + 3x3 = 0 + 17x + -17x + 5x2 + -5x2 + -3x3 + 3x3
-6 + X4 + -17x + -5x2 + 3x3 = 17x + -17x + 5x2 + -5x2 + -3x3 + 3x3

Combine like terms: 17x + -17x = 0
-6 + X4 + -17x + -5x2 + 3x3 = 0 + 5x2 + -5x2 + -3x3 + 3x3
-6 + X4 + -17x + -5x2 + 3x3 = 5x2 + -5x2 + -3x3 + 3x3

Combine like terms: 5x2 + -5x2 = 0
-6 + X4 + -17x + -5x2 + 3x3 = 0 + -3x3 + 3x3
-6 + X4 + -17x + -5x2 + 3x3 = -3x3 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-6 + X4 + -17x + -5x2 + 3x3 = 0

The solution to this equation could not be determined.